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lorasvet [3.4K]
3 years ago
5

Discrete Math (MACM 101 Question)

Mathematics
1 answer:
Rzqust [24]3 years ago
7 0
r is the number of objects from the total n objects that you want to permute.

For example, if I have the set of characters \{a,b,c,d\}, I can choose to permute any of up to 4 of the characters. Suppose I take just 2 of them. Then the formula predicts I should find {}_4P_2=\dfrac{4!}{(4-2)!}=\dfrac{24}2=12 possible permutations. Indeed, these are

\begin{matrix}ab&ac&ad\\ba&bc&bd\\ca&cb&cd\\da&db&dc\end{matrix}
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